MATLAB: How to create surface from stacked 2D plots

Question

I want to create a 3-d plot showing how the stability range (b_kx,b_ky) change depending on the time delay of the system (z-Axis). I can stack (b_kx,b_ky) plots by using plot3d (b_kx, b_ky, T) for each T. How can I smoothly create a surface connecting each of the individual plots?

Answer 1

It would help to have your data. Lacking them, adapt this approach to your data.

This should get you started:

t = linspace(0, 2*pi, 60);                                  % Parameter Vector
crcx = cos(t);                                              % Circle X
crcy = sin(t);                                              % Circle Y
rv = randi([2 10], 10, 1);                                  % Radius Vector
crcxm = rv*crcx;                                            % Circle X Matrix
crcym = rv*crcy;                                            % Circle Y Matrix
figure
surf(crcxm, crcym, 2*(1:10)'+ones(size(crcxm)))             % Plot Surface
grid on
axis equal
view(30,25)
shading('interp')                                           % Optional

producing (for this random radius vector):

So with your data, create matrices from the individual circles by vertically concatenating their x and y coordinates (make them equal lengths using a common angle vector and interp1 if they are not already equal), then plot that with a z matrix created by adding a column vector of the ‘T’ values by an appropriate ones matrix as I did here. They all appear to have a common centre, so that should not be a problem.

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